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Visibility Problem
In geometry, visibility is a mathematical abstraction of the real-life notion of visibility. Given a set of obstacles in the Euclidean space, two points in the space are said to be visible to each other, if the line segment that joins them does not intersect any obstacles. (In the Earth's atmosphere light follows a slightly curved path that is not perfectly predictable, complicating the calculation of actual visibility.) Computation of visibility is among the basic problems in computational geometry and has applications in computer graphics, motion planning, and other areas. Concepts and problems *Point visibility *Edge visibilityE. Roth, G. Panin and A. Knoll,Sampling feature points for contour tracking with graphics hardware, "In International Workshop on Vision, Modeling and Visualization (VMV)", Konstanz, Germany, October 2008. *Visibility polygon *Weak visibility *Art gallery problem or museum problem *Visibility graph **Visibility graph of vertical line segments *Watchman ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Geometry
Geometry (; ) is a branch of mathematics concerned with properties of space such as the distance, shape, size, and relative position of figures. Geometry is, along with arithmetic, one of the oldest branches of mathematics. A mathematician who works in the field of geometry is called a ''List of geometers, geometer''. Until the 19th century, geometry was almost exclusively devoted to Euclidean geometry, which includes the notions of point (geometry), point, line (geometry), line, plane (geometry), plane, distance, angle, surface (mathematics), surface, and curve, as fundamental concepts. Originally developed to model the physical world, geometry has applications in almost all sciences, and also in art, architecture, and other activities that are related to graphics. Geometry also has applications in areas of mathematics that are apparently unrelated. For example, methods of algebraic geometry are fundamental in Wiles's proof of Fermat's Last Theorem, Wiles's proof of Fermat's ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Portal Engine
In computer-generated imagery and real-time 3D computer graphics, portal rendering is an algorithm for visibility determination. For example, consider a 3D computer game environment, which may contain many polygons, only a few of which may be visible on screen at a given time. By determining which polygons are currently not visible, and not rendering those objects, significant performance improvements can be achieved. A portal system is based on using the partitioning of space to form generalizations about the visibility of objects within those spaces. Regions of map space are divided into polygonal, generally convex, areas called ''zones'', or sometimes ''sectors''. Adjacent zones are linked to one another via shared dividing polygons termed ''portals''. Approaches that precompute visibility for zones are referred to as potentially visible set or ''PVS'' methods. For example, in a computer game such as ''Descent'', the game area might be divided into several zones. These zone ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Springer-Verlag
Springer Science+Business Media, commonly known as Springer, is a German multinational publishing company of books, e-books and peer-reviewed journals in science, humanities, technical and medical (STM) publishing. Originally founded in 1842 in Berlin, it expanded internationally in the 1960s, and through mergers in the 1990s and a sale to venture capitalists it fused with Wolters Kluwer and eventually became part of Springer Nature in 2015. Springer has major offices in Berlin, Heidelberg, Dordrecht, and New York City. History Julius Springer founded Springer-Verlag in Berlin in 1842 and his son Ferdinand Springer grew it from a small firm of 4 employees into Germany's then second-largest academic publisher with 65 staff in 1872.Chronology ". Springer Science+Business Media. In 1964, Springer expanded its business internationally, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Otfried Schwarzkopf
Otfried Cheong (; formerly Otfried Schwarzkopf) is a German computational geometer working in South Korea at KAIST. He is known as one of the authors of the widely used computational geometry textbook ''Computational Geometry: Algorithms and Applications'' (with Mark de Berg, Marc van Kreveld, and Mark Overmars) and as the developer of Ipe, a vector graphics editor. Cheong completed his doctorate from the Free University of Berlin in 1992 under the supervision of Helmut Alt. He joined KAIST in 2005, after previously holding positions at Utrecht University, Pohang University of Science and Technology, Hong Kong University of Science and Technology, and the Eindhoven University of Technology. Cheong was co-chair of the Symposium on Computational Geometry in 2006, with Nina Amenta. In 2017 he was recognized by the Association for Computing Machinery The Association for Computing Machinery (ACM) is a US-based international learned society for computing. It was founded in ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark Overmars
Markus Hendrik "Mark" Overmars (; born 29 September 1958) is a Dutch computer scientist and teacher of game programming known for his game development application GameMaker. GameMaker allows users to create computer games using a drag-and-drop interface. He is the former head of the ''Center for Geometry, Imaging, and Virtual Environments'' at Utrecht University in the Netherlands. This research center focuses on computational geometry and its applications in areas such as computer graphics, robotics, geographic information systems, imaging, multimedia, virtual environments, and games. Overmars received his Ph.D. in 1983 from Utrecht University under the supervision of Jan van Leeuwen, and remained a faculty member at the same university until September 2013. Overmars has published over 100 journal papers, largely on computational geometry, and is a co-author of several widely used textbooks on the subject. Overmars has also worked in robotics. He was the first to develop t ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Marc Van Kreveld
Marc Johan van Kreveld is a Dutch computational geometer, known as one of the authors of the textbook ''Computational Geometry: Algorithms and Applications'' (with Mark de Berg, Otfried Cheong, and Mark Overmars, Springer, 1997; 3rd ed., 2008). Van Kreveld completed his Ph.D. in 1992 at Utrecht University. His dissertation, ''New Results on Data Structures in Computational Geometry'', was supervised by Mark Overmars. He is a professor of computer science at Utrecht University. With Ferran Hurtado, van Kreveld was co-chair of the 2011 Symposium on Computational Geometry. He has also worked in geographic information system A geographic information system (GIS) consists of integrated computer hardware and Geographic information system software, software that store, manage, Spatial analysis, analyze, edit, output, and Cartographic design, visualize Geographic data ...s, and (with Jürg Nievergelt, Thomas Roos, and Peter Widmayer) is the author of the textbook ''Algorithmic F ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Mark De Berg
Mark de Berg is a Dutch computational geometer, known as one of the authors of the textbook ''Computational Geometry: Algorithms and Applications'' (with Otfried Cheong, Marc van Kreveld, and Mark Overmars, Springer, 1997; 3rd ed., 2008). De Berg completed his Ph.D. in 1992 at Utrecht University. His dissertation, ''Efficient Algorithms for Ray Shooting and Hidden Surface Removal'', was supervised by Mark Overmars. He is a professor of computer science at the Eindhoven University of Technology. With David Mount, de Berg was co-chair of the 2003 Symposium on Computational Geometry The International Symposium on Computational Geometry (SoCG) is an academic conference in computational geometry. Today its acronym is pronounced "sausage." It was founded in 1985, with the program committee consisting of David Dobkin, Joseph O'Rou .... References External linksHome page* {{DEFAULTSORT:Berg, Mark De Year of birth missing (living people) Living people Dutch computer scientists ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Cambridge University Press
Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessment to form Cambridge University Press and Assessment under Queen Elizabeth II's approval in August 2021. With a global sales presence, publishing hubs, and offices in more than 40 countries, it published over 50,000 titles by authors from over 100 countries. Its publications include more than 420 academic journals, monographs, reference works, school and university textbooks, and English language teaching and learning publications. It also published Bibles, runs a bookshop in Cambridge, sells through Amazon, and has a conference venues business in Cambridge at the Pitt Building and the Sir Geoffrey Cass Sports and Social Centre. It also served as the King's Printer. Cambridge University Press, as part of the University of Cambridge, was a ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Oxford University Press
Oxford University Press (OUP) is the publishing house of the University of Oxford. It is the largest university press in the world. Its first book was printed in Oxford in 1478, with the Press officially granted the legal right to print books by decree in 1586. It is the second-oldest university press after Cambridge University Press, which was founded in 1534. It is a department of the University of Oxford. It is governed by a group of 15 academics, the Delegates of the Press, appointed by the Vice Chancellor, vice-chancellor of the University of Oxford. The Delegates of the Press are led by the Secretary to the Delegates, who serves as OUP's chief executive and as its major representative on other university bodies. Oxford University Press has had a similar governance structure since the 17th century. The press is located on Walton Street, Oxford, Walton Street, Oxford, opposite Somerville College, Oxford, Somerville College, in the inner suburb of Jericho, Oxford, Jericho. ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Painter's Algorithm
The painter's algorithm (also depth-sort algorithm and priority fill) is an algorithm for Hidden-surface determination#Visible surface determination, visible surface determination in 3D computer graphics that works on a polygon, polygon-by-polygon basis rather than a pixel, pixel-by-pixel, row by row, or area by area basis of other hidden surface removal, Hidden-Surface Removal algorithms. The painter's algorithm creates images by sorting the polygons within the image by their depth and placing each polygon in order from the farthest to the closest object. The painter's algorithm was initially proposed as a basic method to address the Hidden-surface determination problem by Martin Newell (computer scientist), Martin Newell, Dick Newell, Richard Newell, and Tom Sancha in 1972, while all three were working at CADCentre. The name "painter's algorithm" refers to the technique employed by many painters where they begin by painting distant parts of a scene before parts that are nearer, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Zone Of Visual Influence
A viewshed is the geographical area that is visible from a location. It includes all surrounding points that are in line-of-sight with that location and excludes points that are beyond the horizon or obstructed by terrain and other features (e.g., buildings, trees). Conversely, it can also refer to area from which an object can be seen. A viewshed is not necessarily " visible" to humans; the same concept is used in radio communications to indicate where a specific combination of transmitter, antenna, and terrain allow reception of signal. Viewsheds are commonly used in terrain analysis, which is of interest to urban planning, archaeology, and military science. In urban planning, for example, viewsheds tend to be calculated for areas of particular scenic or historic value that are deemed worthy of preservation against development or other change. Viewsheds are often calculated for public areas — for example, from public roadways, public parks, or high-rise buildings. The preserv ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
